Nilpotence theorem
id:
nilpotence-theorem-253-3270656
title:
Nilpotence theorem
text:
In algebraic topology, the nilpotence theorem gives a condition for an element in the homotopy groups of a ring spectrum to be nilpotent, in terms of the complex cobordism spectrum M U . More precisely, it states that for any ring spectrum R , the kernel of the map π ∗ R → M U ∗ consists of nilpotent elements. It was conjectured by Douglas Ravenel (1984) and proved by Ethan S. Devinatz, Michael J. Hopkins, and Jeffrey H. Smith (1988).
brand slug:
wiki
category slug:
encyclopedia
description:
On when an element of the coefficient ring of a ring spectrum is nilpotent
original url:
https://en.wikipedia.org/wiki/Nilpotence_theorem
date created:
date modified:
2024-01-05T08:50:56Z
main entity:
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image:
fields total:
13
integrity:
14